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2242602960 = 243513255291
BaseRepresentation
bin1000010110101011…
…0110011111010000
312210021212000220220
42011222312133100
514043101243320
61010310433040
7106400545023
oct20552663720
95707760826
102242602960
11a50988884
12527062780
132997c9c00
14173bab1ba
15d1d34e40
hex85ab67d0

2242602960 has 120 divisors (see below), whose sum is σ = 7528116384. Its totient is φ = 552015360.

The previous prime is 2242602959. The next prime is 2242602983. The reversal of 2242602960 is 692062422.

2242602960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12915 + ... + 68205.

Almost surely, 22242602960 is an apocalyptic number.

2242602960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764058192).

2242602960 is an abundant number, since it is smaller than the sum of its proper divisors (5285513424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2242602960 is a wasteful number, since it uses less digits than its factorization.

2242602960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55333 (or 55314 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2242602960 is about 47356.1290647789. The cubic root of 2242602960 is about 1308.9331406741.

The spelling of 2242602960 in words is "two billion, two hundred forty-two million, six hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 55291 110582 165873 221164 276455 331746 442328 552910 663492 718783 829365 884656 1105820 1326984 1437566 1658730 2156349 2211640 2653968 2875132 3317460 3593915 4312698 4423280 5750264 6634920 7187830 8625396 9344179 10781745 11500528 13269840 14375660 17250792 18688358 21563490 28032537 28751320 34501584 37376716 43126980 46720895 56065074 57502640 74753432 86253960 93441790 112130148 140162685 149506864 172507920 186883580 224260296 280325370 373767160 448520592 560650740 747534320 1121301480 2242602960